The most memorable IF I’ve played through was one[1] in which you were a captured spy being interrogated in semi-linear fashion. The game was a retelling of your capture, where every wrong choice amounted to ‘It could not have happened that way, go back and tell me what you really did.’

The only way to win was to slip one lie into the retelling, and then when the game catches up to the present moment...

[1]Spider and Web